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Finding the Third Proportional to 23,498,208,744 and 50,717,680,572

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Solution

The third proportional to 23,498,208,744 and 50,717,680,572 is: 109,467,200,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498,208,744 : 50,717,680,572 = 50,717,680,572 : x
  2. Step 2: Convert to fraction form
    23,498,208,744/50,717,680,572 = 50,717,680,572/x
  3. Step 3: Cross multiply
    23,498,208,744x = 50,717,680,572 × 50,717,680,572
  4. Step 4: Simplify right side
    23,498,208,744x = 2,572,283,122,603,426,054,144
  5. Step 5: Solve for x
    x = 2,572,283,122,603,426,054,144/23,498,208,744
  6. Step 6: Final answer
    x = 109,467,200,271.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.